This numerical evidence that builds on previous analytical work [1]}, [2]} provides an interesting challenge for experiments to observe the communal state in physical systems. In real space the superconducting order parameter will exhibit a beat pattern due to the interference between similar \(q\) -vectors, which could allow the identification of the particular \(q\) -vectors in the superconductor. The order parameter and its spread in momentum could be determined in an ultracold atomic gas experiment through density-density correlations measured from time-of-flight experiments [3]}. In contrast, FFLO and crystalline FFLO theories predict sharp peaks in the condensate fraction, as in spin-balanced BCS theory, at fixed magnitude of the pairing momenta.
